506710080 has 280 divisors, whose sum is σ = 1828918872. Its totient is φ = 133152768.

The previous prime is 506710073. The next prime is 506710117. The reversal of 506710080 is 80017605.

It can be written as a sum of positive squares in 4 ways, for example, as 27625536 + 479084544 = 5256^2 + 21888^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2928874 + ... + 2929046.

Almost surely, 2^506710080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914459436).

506710080 is an abundant number, since it is smaller than the sum of its proper divisors (1322208792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506710080 is a wasteful number, since it uses less digits than its factorization.

506710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 506710080 is about 22510.2216781621. The cubic root of 506710080 is about 797.2352898118.

Adding to 506710080 its reverse (80017605), we get a palindrome (586727685).

The spelling of 506710080 in words is "five hundred six million, seven hundred ten thousand, eighty".